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Finding the Fourth Proportional to 651,724.40, 978,461.40 and 416,111.60

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Solution

The fourth proportional to 651,724.40, 978,461.40 and 416,111.60 is: 624,725.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,724.40 : 978,461.40 = 416,111.60 : x
  2. Step 2: Convert to fraction form
    651,724.40/978,461.40 = 416,111.60/x
  3. Step 3: Cross multiply
    651,724.40x = 978,461.40 × 416,111.60
  4. Step 4: Simplify right side
    651,724.40x = 407,149,138,692.24
  5. Step 5: Solve for x
    x = 407,149,138,692.24/651,724.40
  6. Step 6: Final answer
    x = 624,725.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.